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Finding the Fourth Proportional to 375.31, 562.94 and 144.31

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Solution

The fourth proportional to 375.31, 562.94 and 144.31 is: 216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.31 : 562.94 = 144.31 : x
  2. Step 2: Convert to fraction form
    375.31/562.94 = 144.31/x
  3. Step 3: Cross multiply
    375.31x = 562.94 × 144.31
  4. Step 4: Simplify right side
    375.31x = 81,234.34
  5. Step 5: Solve for x
    x = 81,234.34/375.31
  6. Step 6: Final answer
    x = 216.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.